How am I plagarizing?
The how is you are extracting the data from a solution provided by another (AoPS). You may be rendering the data via Asymptote, but this is not your original work –it belongs to someone else. You may have verified the solution by doing the work, but your verification is a derivative of that AoPS solution. When your work is based on any other work, you need to acknowledge and cite that reference. This is true, even if it is your own work that you have presented previously.
Now back to your presented solution:
I can see that your math matches your Venn diagram, but it does not match the data in the question.
Below are two Venn diagrams showing all the data relations. The first one is based on your data from (AoPS); the second is based on my data from the posted question.
As you may see there are some subtle differences: the diagrams clearly show a difference in the number of dogs that won both a blue and white ribbon: Your graph shows 39 and mine shows 38. Note in the posted question that, $38$ (sic) have a blue ribbon and a white ribbon. (Also noted by Melody.)
Along with other changes, this difference reduced the number of orphans by one (1). So, either AoPS made a mistake or the questions are different.
This is why it’s important to actually solve the posted questions independently and then verify the answer via another source, rather than finding a source then basing your answer on that data. If your answer does not agree with the source, you investigate why.
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